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Agriculture is the main contribution to the rural economy of Sri Lanka. This study is carried on finding optimal land allocation for cultivation using goal programming approach. Five crops namely Cowpea, Black gram, Finger Millet, Maize and Soya Bean were selected to the study. This land allocation is for Anuradhapura District since it is the major agricultural district in Sri Lanka. Preemptive Goal Programming method is used in finding the optimal land allocation. Three goals are considered according to their priorities to seek the optimal solution. MS Excel Solver is used to implement the linear model. The data was collected from Annual Reports of Department of Agriculture. According to the final results obtained by goal programming approach, all five crops are reached their expected production. But the extent in yala(Dry Season) and maha(Rainy Season) season is changed. Overall result shows that new allocation exceeds the production and profit as well as minimizing the production cost. This mathematical model can easily be used on any other crop in any district by changing the variable coefficients and constraint values.

Application of Goal Programming Approach on Finding an Optimal Land Allocation for Five Other Field Crops in Anuradhapura District